2025/12/27 by Filikhin, Igor, Kezerashvili, Roman Ya., Vlahovic, Branislav
#FOS: Physical sciences #Nuclear Theory (nucl-th)
paper · doi:10.48550/arxiv.2512.22600
We investigate bound states of light Ω3x-clusters (x = s, c), motivated by the Ω3sN potential recently developed by the HAL QCD collaboration. To regularize this potential, we remove the deeply attractive core at r < 0.4~fm and parametrize the long-range component (r > 0.4~fm) using a two-range Gaussian form. This procedure preserves the relevant two-body bound state energy while having a negligible effect on the Ω3sNN and Ω3sΩ3sN systems. An effective Ω3sα potential is then constructed by fitting a two-range Gaussian function to the long-range component of the folding potential, enabling calculations of the bound state energies of the Ω3sα, Ω3sαα, and Ω3sΩ3sα systems. The regularization procedure leads to a substantial reduction in bound state energies compared to those obtained with the original potential. We further extend the analysis to Ω3c-cluster systems by introducing an Ω3cN interaction, derived by comparing the existing Ω3sΩ3s and Ω3cΩ3c potentials. Our results suggest that several parametrizations predict bound states in Ω3c-containing clusters. Finally, the Ω3sΩ3s interaction is described using a contact-like potential approach, motivated by the effective field theory.